Seven different objects must be divided among three people. In how many ways can this be done if one or two of them must get no objects?
36
84
180
381
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1
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There are three rooms in a motel: one single, one double, and one for four persons. How many ways are there to house seven persons in these rooms?
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2
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In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
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3
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A speaks truth in 75% cases and B in 80% of the cases. In what percentage of the cases are they likely to contradict each other, narrating the same incident?
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4
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How many words, with or without meaning, can be formed using all letters of the word EQUATION using each letter exactly once?
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5
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A, B, C, D and E sit on five chairs all of which are facing north. C will sit only on the leftmost chair and B will not sit anywhere to the left of A. In how many ways they can be seated?
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6
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How many rectangles can be formed out of a chess board ?
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7
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A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
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8
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Four letters are selected from the word “CAPAME” and are rearranged to form four letter words. How many words can be formed?
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9
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How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated
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10
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If four dice are thrown together, then what is the probability that the sum of the numbers appearing on them is 25 ?
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